Dresden 2011 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Graphene II (organised by TT)
DY 9.8: Talk
Monday, March 14, 2011, 16:00–16:15, HSZ 304
Thermal fluctuations of free standing graphene — •Nils Hasselmann1,3 and Fabio Braghin2,3 — 1MPIFKF Stuttgart — 2Univ. Fed. de Goias, Goiania, GO, Brazil — 3IIP, UFRN, Natal, RN, Brazil
We use non-perturbative renormalization group techniques to calculate the momentum dependence of thermal fluctuations of graphene, based on a self-consistent calculation of the momentum dependent elastic constants of a tethered membrane. We find a sharp crossover from the perturbative to the anomalous regime, in excellent agreement with Monte Carlo results for the the out-of-plane fluctuations of graphene, and give an accurate value for the crossover scale. Our work strongly supports the notion that graphene is well described as a tethered membrane. Ripples emerge naturally from our analysis.